The energy released in the fusion reaction.

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Chapter 30, Problem 39AP

To determine

The energy released in the fusion reaction.

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A fusion reaction that has been considered as a source of energy is the absorption of a proton by a boron-11 nucleus to produce three alpha particles: 1/1H + 11/5B → 3(4/2He)This reaction is an attractive possibility because boron is easily obtained from the Earth’s crust. A disadvantage is that the protons and boron nuclei must have large kinetic energies for the reaction to take place. This requirement contrasts with the initiation of uranium fission by slow neutrons. (a) How much energy is released in each reaction? (b) Why must the reactant particles have high kinetic energies?

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Another set of reactions that result in the fusing ofhydrogen into helium in the Sun and especially in hotter starsis called the carbon cycle. It is12C + 1H → 13N + γ,13N → 13C + e+ + ve,13C + 1H → 14N + γ,14N + 1H → 15O + γ,15O → 15N + e+ + ve,15N + 1H → 12C + 4He.Write down the overall effect of the carbon cycle (as wasdone for the proton-proton cycle in2e− + 41H → 4 He + 2ve + 6γ ). Note the number of protons ( 1H ) required and assume that the positrons ( e+ ) annihilate electrons to form more γ rays.